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2010/1
To determination of coefficient of Hydraulic Resistance for Fluid Flows in Modeling Porous Media
Drilling and development of hydrocarbon fields

Authors: Nikolai M. DMITRIEV (b. 1948) doctor of technical sciences, professor of Russian State University of Oil and Gas, Full Member of the Russian Academy of Natural Sciences. Sphere of academic interests — mechanics anisotropy media. Published over 180 works including 20 teaching aids. E-mail: Dmitriev.msc@mtu-net.ru
Alekcandr A. MURADOV (b. 1984) graduate student of Dept. Petroleum and Reservoir Hydromechanics at Russian State University of Oil and Gas. The sphere of academic inte- rests — mechanics anisotropy porous media, 8 publications.

Abstract: In the present paper various variants of the presentation of the Reynolds' number and the coefficient of hydraulic resistance for the porous media with isotropic and anisotropic reservoir properties are presented. The development of formulas and the analysis of variants are carried out on an example of the modeling porous media with periodic microstructure which are formed by the system of capillaries and the packing of spheres with constant diameter (ideal and fictitious porous media respectively). Ideal porous media are modeled by capillary channels with different cross sections (circle, triangle, ellipse and rectangle). It is shown that formulas for the coefficient of hydraulic resistance for the fluid flows in capillary models coincide with formulas which are used in the pipeline hydraulics at the correct determination of Reynolds' number. The derived formulas in the aggregate with taking into account microstructure make it possible to explain wide scattering of the numerical values of Reynolds' number at the experimental data handling.

Index UDK: 532.546

Keywords: Reynold's number, hydraulic resistance, perfect soil, fictitious soil, porosity, transparency, permeability

Bibliography:

2011/3
The equations of unsteady flows based two-term law of filtration in isotropic porous medium
Automation, modeling and energy supply in oil and gas sector

Authors: Nikolai M. DMITRIEV was born in 1948. He is Doctor of Technical Sciences, Professor of the Department of Underground Hydromechanics of Gubkin Russian State University of Oil and Gas, Full Member of the Academy of Natural Sciences. He is author of more than 180 scientific papers, including 20 textbooks. E-mail: nmdrgu@gmail.com
Mikhail N. DMITRIEV was born in 1980. He is Candidate of Mathematical and Physical Sciences, senior lecturer of the Department of Underground Hydromechanics of Gubkin Russian State University of Oil and Gas, author of 40 scientific papers. E-mail: nmdrgu@gmail.com
Alexander A. MURADOV was born in 1984. He is Candidate of Mathematical and Physical Sciences, Head of Marketing and Communications Research Dept. at Gubkin Russian State University of Oil and Gas, author of 9 scientific publications. E-mail: mypuk@list.ru

Abstract: New interpretation of the binomial formula of Forhgejmera and its representation resolved con-cerning a vector of speed of a filtration is given. Using representation of the formula of Forhgejmera concerning speed of a filtration, the invariant vector equations of an unsteady filtrational current of perfect gas and an elastic liquid in the elastic porous media under the binomial law of a filtration in the isotropic media are received. Earlier special cases of representation of the formula of Forhgejmera of the filtration resolved concerning speed for one-dimensional problems were considered only at plane-radial and plane-parallel filtration.

Index UDK: 532.546

Keywords: nonlinear laws of a filtration, unsteady filtrational currents, an elastic mode, a filtration of gas, the equation of an elastic mode and a gas filtration at the binomial law of a filtration

Bibliography: